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Random matrix theory in reverse Meckes, Mark
Description
The most classical problem in random matrix theory is to specify a natural joint distribution for the entries of a large random matrix, then study the asymptotic behavior of the distribution of the eigenvalues. I will describe joint work with Elizabeth Meckes on the opposite problem: For a natural model of random matrices with prescribed eigenvalues, we study the asymptotic behavior of the distribution of the matrix entries. Our results have applications to quantum mechanics, and shed new light on the universality phenomenon in classical random matrix theory.
Item Metadata
Title |
Random matrix theory in reverse
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-03-27T15:31
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Description |
The most classical problem in random matrix theory is to specify a
natural joint distribution for the entries of a large random matrix,
then study the asymptotic behavior of the distribution of the
eigenvalues. I will describe joint work with Elizabeth Meckes on the
opposite problem: For a natural model of random matrices with
prescribed eigenvalues, we study the asymptotic behavior of the
distribution of the matrix entries. Our results have applications to
quantum mechanics, and shed new light on the universality phenomenon
in classical random matrix theory.
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Extent |
30 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Case Western Reserve University
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Series | |
Date Available |
2018-09-24
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0372143
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International